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expeople1 [14]
4 years ago
12

Given that f(x)=x2-3x+3 and g(x)=x-1/4 find f(g(5))

Mathematics
1 answer:
ohaa [14]4 years ago
6 0

Answer:

f(g(5)) = 181/16

Step-by-step explanation:

f(x)=x2-3x+3

g(x)=x-1/4

so we have:

f(g(x)) = (x-1/4)2-3(x-1/4)+3

f(g(5)) = (5-1/4)2 - 3(5-1/4)+3

f(g(5)) = (19/4)2 -3(19/4) +3

f(g(5)) = 361/16 - 57/4 +3

f(g(5)) = 181/16

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Solve the system of equations x+y=-8 and -9x-6y=60 by combining the equations
TiliK225 [7]

Answer:

x = - 4    y = - 4

Step-by-step explanation:

x+y= - 8

-9x-6y=60

First, solve for x in the first equation:

x+y = - 8       Subtract y from both sides

x + y - y = -8 - y    y cancels on the left

x = - 8 - y

Now plug in what you found for x into the 2nd equation and solve for y.

- 9x - 6y = 60

-9(- 8 - y) - 6y = 60   Multiply out

72 + 9y - 6y = 60

72 + 3y = 60  Subtract 72 from both sides

72 - 72 + 3y = 60 - 72    72 cancels on the left

3y = - 12     Divie both sides by 3

3y/3 = -12/3     3 cancels on the left because 3/3 = 1

y = -4

Now plug your answer for y back into the first equation to get x.

x + y = -8

x + (-4) = - 8  Add 4 to each side

x - 4 + 4 = - 8 + 4   4 cancels on the left

x = -4

x = - 4 and y = - 4

8 0
3 years ago
A dozen plain hats cost 3.60,what is the unit rate of a hat?
deff fn [24]
I think the answer should be 12.
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3 years ago
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Find the perimeter. Simplify the answer.
Ugo [173]

Answer: 26t - 8

Step-by-step explanation:

7 0
3 years ago
A laundry basket contains 8 white t-shirts and 6 black t-shirts. What is the probability of randomly picking a black t-shirt fro
MissTica

Answer:

30/182 = 15/91.

Step-by-step explanation:

<u>PROBABILITY:</u> the likelihood of an event.

There are a total of 14 shirts in the basket.

Of the 14, 8 (8/14) of them are white, and 6 (6/14) of them are black.

The probability of picking a black shirt is 6 in 14, or 6/14.

The probability of picking a white shirt is 8 in 14, or 8/14.

<u>WITHOUT REPLACING:</u> This means that you take one without putting it back. (There will be one less).

6/14 × 5/13 = 30/182.

30/182 = 15/91.

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Wich shapes can the the shaded area be divided into to find the area
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Answer:

A. a rectangle and a triangle

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